// ---------- begin enumerate prime ---------- fn enumerate_prime(n: usize, mut f: F) where F: FnMut(usize), { assert!(1 <= n && n <= 5 * 10usize.pow(8)); let batch = (n as f64).sqrt().ceil() as usize; let mut is_prime = vec![true; batch + 1]; for i in (2..).take_while(|p| p * p <= batch) { if is_prime[i] { let mut j = i * i; while let Some(p) = is_prime.get_mut(j) { *p = false; j += i; } } } let mut prime = vec![]; for (i, p) in is_prime.iter().enumerate().skip(2) { if *p && i <= n { f(i); prime.push(i); } } let mut l = batch + 1; while l <= n { let r = std::cmp::min(l + batch, n + 1); is_prime.clear(); is_prime.resize(r - l, true); for &p in prime.iter() { let mut j = (l + p - 1) / p * p - l; while let Some(is_prime) = is_prime.get_mut(j) { *is_prime = false; j += p; } } for (i, _) in is_prime.iter().enumerate().filter(|p| *p.1) { f(i + l); } l += batch; } } // ---------- end enumerate prime ---------- // floor(a ^ (1 / k)) fn kth_root(a: u64, k: u64) -> u64 { assert!(k > 0); if a == 0 { return 0; } if k >= 64 { return 1; } if k == 1 { return a; } let valid = |x: u64| -> bool { let mut t = x; for _ in 1..k { let (val, ok) = t.overflowing_mul(x); if !(!ok && val <= a) { return false; } t = val; } true }; let mut ok = 1; let mut ng = 2; while valid(ng) { ok = ng; ng *= 2; } while ng - ok > 1 { let mid = ok + (ng - ok) / 2; if valid(mid) { ok = mid; } else { ng = mid; } } ok } // ---------- begin input macro ---------- // reference: https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { (source = $s:expr, $($r:tt)*) => { let mut iter = $s.split_whitespace(); input_inner!{iter, $($r)*} }; ($($r:tt)*) => { let s = { use std::io::Read; let mut s = String::new(); std::io::stdin().read_to_string(&mut s).unwrap(); s }; let mut iter = s.split_whitespace(); input_inner!{iter, $($r)*} }; } macro_rules! input_inner { ($iter:expr) => {}; ($iter:expr, ) => {}; ($iter:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($iter, $t); input_inner!{$iter $($r)*} }; } macro_rules! read_value { ($iter:expr, ( $($t:tt),* )) => { ( $(read_value!($iter, $t)),* ) }; ($iter:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($iter, $t)).collect::>() }; ($iter:expr, chars) => { read_value!($iter, String).chars().collect::>() }; ($iter:expr, bytes) => { read_value!($iter, String).bytes().collect::>() }; ($iter:expr, usize1) => { read_value!($iter, usize) - 1 }; ($iter:expr, $t:ty) => { $iter.next().unwrap().parse::<$t>().expect("Parse error") }; } // ---------- end input macro ---------- fn run() { input!(l: usize, r: usize); let mut factor = vec![vec![]; r - l + 1]; enumerate_prime(1000000, |p| { let mut x = (l + p - 1) / p * p - l; while x < factor.len() { factor[x].push(p); x += p; } }); let mut ans = 0; for (i, f) in factor.iter().enumerate() { let mut n = i + l; if n == 1 { ans += 1; continue; } let mut add = true; for &p in f.iter() { add &= n % (p * p) != 0; while n % p == 0 { n /= p; } } if n > 1 { let r = kth_root(n as u64, 2) as usize; add &= r * r != n; } if add { ans += 1; } } println!("{}", ans); } fn main() { run(); }